Jones, in his eighth straight start and fourth since the All-Star break, made 10 saves in the first, 12 in the second and 11 in the third for his fifth shutout of the season and the 12th of his NHL career. His performance helped the Sharks improve to 18-8-2 on the road, 23-2-1 when scoring first and 20-0-2 when leading at the end of the second period.
"We've been good with the lead all year, so it's important for us to get the first goal," Jones said. "With a team like [the Blackhawks], they can score goals pretty well. You never know what can happen, but we were really good all night."
Corey Crawford made 25 saves for Chicago (36-17-4), which lost for the first time in four games.
The Blackhawks, playing their first home game since Jan. 24, were without rookie left wing Artemi Panarin, who was sick and missed his first game. Teuvo Teravainen filled Panarin's role on the second line, and forward Jiri Sekac entered the lineup as right wing on the fourth line.